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Finding the Fourth Proportional to 504.12, 695.45 and 317.52

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Solution

The fourth proportional to 504.12, 695.45 and 317.52 is: 438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.12 : 695.45 = 317.52 : x
  2. Step 2: Convert to fraction form
    504.12/695.45 = 317.52/x
  3. Step 3: Cross multiply
    504.12x = 695.45 × 317.52
  4. Step 4: Simplify right side
    504.12x = 220,817.70
  5. Step 5: Solve for x
    x = 220,817.70/504.12
  6. Step 6: Final answer
    x = 438.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.